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Finding the Fourth Proportional to 4,197.26, 6,288.06 and 2,806.50

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Solution

The fourth proportional to 4,197.26, 6,288.06 and 2,806.50 is: 4,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.26 : 6,288.06 = 2,806.50 : x
  2. Step 2: Convert to fraction form
    4,197.26/6,288.06 = 2,806.50/x
  3. Step 3: Cross multiply
    4,197.26x = 6,288.06 × 2,806.50
  4. Step 4: Simplify right side
    4,197.26x = 17,647,440.39
  5. Step 5: Solve for x
    x = 17,647,440.39/4,197.26
  6. Step 6: Final answer
    x = 4,204.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.